2.51 is what percent of 61.64 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 61.64 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 61.64, so we can write it down as 100%=61.64.
4. We know, that x% equals 2.51 of the output value, so we can write it down as x%=2.51.
5. Now we have two simple equations:
1) 100%=61.64
2) x%=2.51
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=61.64/2.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.51 is what percent of 61.64

100%/x%=61.64/2.51
(100/x)*x=(61.64/2.51)*x       - we multiply both sides of the equation by x
100=24.557768924303*x       - we divide both sides of the equation by (24.557768924303) to get x
100/24.557768924303=x
4.0720311486048=x
x=4.0720311486048

now we have:
2.51 is 4.0720311486048% of 61.64